Question
For matrix dimensions p = {10, 20, 30, 40}, representing
matrices A (10x20), B (20x30), C (30x40). What is the minimum number of scalar multiplications required to compute (AB)C?Solution
(Calculation: (A(BC)) = 20*30*40 + 10*20*40 = 24000 + 8000 = 32000. ((AB)C) = 10*20*30 + 10*30*40 = 6000 + 12000 = 18000. Minimum is 18000.)
The HCF and LCM of two natural numbers are 15 and 75, respectively. What is the difference between the two numbers, if one of the numbers is 25?
Find the HCF of 834 and 582.
The HCF and LCM of two natural numbers are 6 and 36, respectively. What is the difference between the two numbers, if one of the numbers is 18?
What is the least number which when divided by 4, 6 & 8 leave a remainder 6 in each case & it is also divisible by 5?
The HCF of two numbers is 7. Which of the following can never be their LCM?
What is the difference between the LCM and HCF of 24, 48?
What is the difference between the LCM and HCF of 38, 52?
If the product of two numbers is 96 and their HCF is 8, find the LCM of the given two numbers.
What is the fourth proportional to 4, 5, 16?
The product of two numbers is 504 and their HCF is 6. Total number of such pairs of numbers is?  Â
